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Methods
Outcome-guided mutual information network construction
1) Integrative network construction
2) Network-based survival analysis
Outcome-guided mutual information networks for investigating gene-gene
interaction effects on clinical outcomes
Hyun-hwan Jeong, So Yeon Kim, Kyubum Wee, Kyung-Ah Sohn
Department of Information and Computer Engineering, Ajou University, Suwon 443-749, S. Korea
e-mail : {libe,jebi1771,kbwee,kasohn}@ajou.ac.kr
Introduction
Network-based analysis frameworks have gained huge popularity recently as network
information can provide a more systematic and global view of the underlying biological
system. However, most network-based studies rely on feature-wise networks which can
reveal the relation between a pair of features, but do not consider the effect of pair-wise
feature interactions on the outcome.
To detect significant feature pairs associated with the outcome, we employ the Mutual
Information measure, which is a non-parametric, information-theoretic measure and has
been successfully used to detect linear or non-linear association between the features. Based
on the extension of Mutual Information measure, we propose a simple but powerful scheme
to construct an outcome-guided network with appropriate edge significance filtering.
We demonstrate the utility of the proposed network construction approach in two main
applications: the integrative network analysis of multiple genomic profiles, and the
network-based survival analysis. In both applications, datasets from ovarian serous
cystadenocarcinoma patients in The Cancer Genome Atlas (TCGA) are used. The results
highlight the usefulness of the outcome-guided mutual information networks in both
applications for investigating gene-gene interaction effects associated with clinical
outcomes.
References
[1] Cerami, E., et al., The cBio Cancer Genomics Portal: An Open Platform for Exploring Multidimensional Cancer Genomics Data. Cancer Discovery, 2012. 2(5): p. 401-404.
[2] TCGA, Comprehensive genomic characterization defines human glioblastoma genes and core pathways. Nature, 2008. 455(7216): p. 1061-1068.
[3] Steuer, R., et al., The mutual information: detecting and evaluating dependencies between variables. Bioinformatics, 2002. 18(suppl 2): p. S231-S240.
[4] Butte AJ, Kohane IS, Mutual information relevance networks: functional genomic clustering using pairwise entropy measurements. Pacific Symposium on Biocomputing Pacific Symposium on Biocomputing, 2000:418-429.
[5] Li C, Li H, Network-constrained regularization and variable selection for analysis of genomic data. Bioinformatics, 2008. 24(9):1175-1182.
Results
Empirical distribution of mutual information values
Heatmap for the regression coefficients of 15 selected genes
(1) Significance of outcome-guided mutual information values
penalty term
๐’ ๐’‘๐’†๐’ ๐œท, ๐’‰ ๐ŸŽ = ๐’ ๐œท, ๐’‰ ๐ŸŽ โˆ’
๐Ÿ
๐Ÿ
๐€๐œทโ€ฒ
[ ๐Ÿ โˆ’ ๐œถ ๐‘ณ + ๐œถ๐‘ฐ]๐œท
Network constrained regularized Cox regression
๐ฟ = ๐ผ โˆ’ ๐‘†
๐ผ : identity matrix
๐‘† : normalized Laplacian matrix
ฮฑ โˆˆ (0,1] : parameter which
controls the contribution of
network information
Prediction accuracy of the mutual information network-based Net-Cox model
(2) Integrative network analysis
(3) Network-based survival analysis
Significant GO terms
Intersection-network of whole genomic profiles
Category Description p-value FDR
BP hemopoiesis 1.82E-05 6.81E-03
BP immune system development 4.12E-05 6.81E-03
BP aging 3.03E-04 1.36E-02
BP T cell differentiation 4.69E-04 1.99E-02
BP positive regulation of apoptotic process 7.47E-04 2.02E-02
BP apoptotic process 5.92E-04 2.02E-02
BP placenta development 1.07E-03 2.44E-02
BP positive regulation of T cell activation 1.08E-03 2.44E-02
BP signal transduction by phosphorylation 1.49E-03 2.90E-02
BP cellular response to abiotic stimulus 1.68E-03 2.93E-02
Networks for single profile
G1 G2 โ€ฆ
Survival
month
0.5 -0.7 ... 15.0
1.0 0.4 ... 46.0
... ... ... ...
Integrative networks
a binary clinical outcome
discrete genomic profiles
๐ผ(๐‘‹1, ๐‘‹2; ๐‘Œ) = ๐ป(๐‘‹1, ๐‘‹2) + ๐ป(๐‘Œ) โˆ’ ๐ป(๐‘‹1, ๐‘‹2, ๐‘Œ)
Mutual information(M.I.)
Statistically significant
gene pair
gene
Extraction
Gene pairs using
Mutual Information
Single profile networks
Integration
scheme
Outcome-guided
mutual information network

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  • 1. Methods Outcome-guided mutual information network construction 1) Integrative network construction 2) Network-based survival analysis Outcome-guided mutual information networks for investigating gene-gene interaction effects on clinical outcomes Hyun-hwan Jeong, So Yeon Kim, Kyubum Wee, Kyung-Ah Sohn Department of Information and Computer Engineering, Ajou University, Suwon 443-749, S. Korea e-mail : {libe,jebi1771,kbwee,kasohn}@ajou.ac.kr Introduction Network-based analysis frameworks have gained huge popularity recently as network information can provide a more systematic and global view of the underlying biological system. However, most network-based studies rely on feature-wise networks which can reveal the relation between a pair of features, but do not consider the effect of pair-wise feature interactions on the outcome. To detect significant feature pairs associated with the outcome, we employ the Mutual Information measure, which is a non-parametric, information-theoretic measure and has been successfully used to detect linear or non-linear association between the features. Based on the extension of Mutual Information measure, we propose a simple but powerful scheme to construct an outcome-guided network with appropriate edge significance filtering. We demonstrate the utility of the proposed network construction approach in two main applications: the integrative network analysis of multiple genomic profiles, and the network-based survival analysis. In both applications, datasets from ovarian serous cystadenocarcinoma patients in The Cancer Genome Atlas (TCGA) are used. The results highlight the usefulness of the outcome-guided mutual information networks in both applications for investigating gene-gene interaction effects associated with clinical outcomes. References [1] Cerami, E., et al., The cBio Cancer Genomics Portal: An Open Platform for Exploring Multidimensional Cancer Genomics Data. Cancer Discovery, 2012. 2(5): p. 401-404. [2] TCGA, Comprehensive genomic characterization defines human glioblastoma genes and core pathways. Nature, 2008. 455(7216): p. 1061-1068. [3] Steuer, R., et al., The mutual information: detecting and evaluating dependencies between variables. Bioinformatics, 2002. 18(suppl 2): p. S231-S240. [4] Butte AJ, Kohane IS, Mutual information relevance networks: functional genomic clustering using pairwise entropy measurements. Pacific Symposium on Biocomputing Pacific Symposium on Biocomputing, 2000:418-429. [5] Li C, Li H, Network-constrained regularization and variable selection for analysis of genomic data. Bioinformatics, 2008. 24(9):1175-1182. Results Empirical distribution of mutual information values Heatmap for the regression coefficients of 15 selected genes (1) Significance of outcome-guided mutual information values penalty term ๐’ ๐’‘๐’†๐’ ๐œท, ๐’‰ ๐ŸŽ = ๐’ ๐œท, ๐’‰ ๐ŸŽ โˆ’ ๐Ÿ ๐Ÿ ๐€๐œทโ€ฒ [ ๐Ÿ โˆ’ ๐œถ ๐‘ณ + ๐œถ๐‘ฐ]๐œท Network constrained regularized Cox regression ๐ฟ = ๐ผ โˆ’ ๐‘† ๐ผ : identity matrix ๐‘† : normalized Laplacian matrix ฮฑ โˆˆ (0,1] : parameter which controls the contribution of network information Prediction accuracy of the mutual information network-based Net-Cox model (2) Integrative network analysis (3) Network-based survival analysis Significant GO terms Intersection-network of whole genomic profiles Category Description p-value FDR BP hemopoiesis 1.82E-05 6.81E-03 BP immune system development 4.12E-05 6.81E-03 BP aging 3.03E-04 1.36E-02 BP T cell differentiation 4.69E-04 1.99E-02 BP positive regulation of apoptotic process 7.47E-04 2.02E-02 BP apoptotic process 5.92E-04 2.02E-02 BP placenta development 1.07E-03 2.44E-02 BP positive regulation of T cell activation 1.08E-03 2.44E-02 BP signal transduction by phosphorylation 1.49E-03 2.90E-02 BP cellular response to abiotic stimulus 1.68E-03 2.93E-02 Networks for single profile G1 G2 โ€ฆ Survival month 0.5 -0.7 ... 15.0 1.0 0.4 ... 46.0 ... ... ... ... Integrative networks a binary clinical outcome discrete genomic profiles ๐ผ(๐‘‹1, ๐‘‹2; ๐‘Œ) = ๐ป(๐‘‹1, ๐‘‹2) + ๐ป(๐‘Œ) โˆ’ ๐ป(๐‘‹1, ๐‘‹2, ๐‘Œ) Mutual information(M.I.) Statistically significant gene pair gene Extraction Gene pairs using Mutual Information Single profile networks Integration scheme Outcome-guided mutual information network